Answer:
θ = π n + π/2 for n element Z
Step-by-step explanation:
Solve for θ:
1 + 2 cos(2 θ) + cos^2(2 θ) = 0
Write the left hand side as a square:
(cos(2 θ) + 1)^2 = 0
Take the square root of both sides:
cos(2 θ) + 1 = 0
Subtract 1 from both sides:
cos(2 θ) = -1
Take the inverse cosine of both sides:
2 θ = 2 π n + π for n element Z
Divide both sides by 2:
Answer: θ = π n + π/2 for n element Z
Answer:
5 - 7k = -4(k + 1) - 3
5 - 7k = -4k - 4 - 3
7k + 4k = - 4 - 3 -5
11k = -12
k = -12/11
~batmans wife dun dun dun...
Figure out the weight of the glass by first figuring out the area of the sides.
There are four sides. Each side is a triangle with height 2ft and base 2ft. So the area of one of the triangles is 2 ft^2.
There are four sides, so there is a total of 8 ft^2. Each ft^2 weighs 2.45 pounds, for a total of 8*2.45 = 19.6 pounds
Since the chain can support up to 35 pounds, then the chain can support the light cover easily.
To answer this question we have to go through each answer, and use this equation:
(a = area, w = width, l = length, h = height)
a=2(wl+hl+hw)
to solve, and see if it's correct.
A) a=2(9·4+3·4+3·9) = 150
<span>Correct!
</span>B) a=2(3·7+4·7+4·3) = 122
Incorrect.
C) a=2(5·8+5·8+5·5) = 210
Incorrect.
D) a=2(7·5+6·5+6·7) = 214
Correct!
The correct answers are A, and D.
Hope this helped! Please comment or DM me if you have anymore questions. :)
